# kudu

Most popular questions and responses by kudu
1. ## math

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9. What is the length diagonal of the screen, to the nearest whole inch.

2. ## math

The given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?

3. ## math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?

4. ## math

The diagram shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What are the coordinates of the point P? these are points on graph M(-4, 4), N(6,-2)

5. ## Math

Landscape is designing a display of flowers for an area in a public park. The flower seeds will be planted at points lie on a circle that has a diameter of 8 feet. The point where seed is planted must be at least 2 feet away from seeds on the either side

6. ## math

Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.

7. ## math

The third and fifth term of an arithmetic progression are 10 and-10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = -10 -a -2d = -10 a + 4d = -10 2d = -20 d = -10 a + 2(-10) = 10 a -20 = 10 a = 30; d = -2 b)The

8. ## math

A carpenter is constructing a triangular roof for a storage shed as shown in the figure. Part A isosceles triangle = 15 degrees and 15 degrees length of bas is 45 How high will the peaks of the rise above in the top of the shed? b/2 = 22.5 tan(15) = h/22.5

9. ## math

A quantity T is partly constant and partly varies as the square root of s. a) Using constant a and b, write down an equation connecting T and S. b) If S = 16, and when T = 24 and S = 36 when T = 32, find the value of the constants a and b.

10. ## math

Octagon PQRSTVWZ is a regular octagon with the center at point C. Which transformation will map octagon PQRSTVWZ onto itself?

11. ## math

Triangle APQ is the image of ABC under a dilation centered at vertex A with scale factor ½. Triangle RBT is the image of ABC under a dilation centered at vertex B with scale factor ¾ . Which statement about ABC , APQ , and RBT is correct? none of the

12. ## math

All prime numbers less than ten are arranged in descending order to form a Number. (a) Write down the number formed 2, 3, 5, 7 (b) State the total value of the second digit in the number formed in (a) above

13. ## math

Evaluate 6log2^3 √64+ 10log3^5 √243

14. ## math

A man who can swim at 5km/h in still water swims towards the east to cross arriver. If the river flows from north to south at the rate of 3km/h a) Calculate: i) The resultant speed ii) The drift b) If the width of the river is 30m, find the time taken, in

15. ## math

A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters.

16. ## math

A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere.

17. ## math

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

18. ## math

A cylinder of radius 14 cm contains water. A metal solid cone of base radius 7 cm and height 18cm is submerged into the water. Find the change in height of the water level in the cylinder

19. ## math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

20. ## math

The distance between towns M and N is 280 km. A car and a lorry travel from M to N. The average speed of the lorry is 20 km/h less than that of the car. The lorry takes 1 h 10 min more than the car to travel from M and N. (a) If the speed of the lorry is x

21. ## math

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c

22. ## math

A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is time in seconds. Find (a) The displacement of particle at t = 5 (b) The velocity of the particle when t = 5 (c) The values of t

23. ## Math

shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What are the coordinates of the point P? these are points on graph M(-4, 4), N(6,-2)

24. ## Math

A rectangular container 45cm long and 25cm wide was full of water. After removing 22.5 liters of the water, the level of water became 4cm high. What was the height of the container?

25. ## math

A cylinder container of radius 15 cm has some water in it. When a solid submerged into the water, the water level rises 1.2 cm. (a) Find, the volume of the water displace by the solid leaving your answer in terms of π (b) If the solid is a circular cone

26. ## math

The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

27. ## Math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? Help help

28. ## math

A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of liquid in the container.

29. ## math

A salesman gets a commission of 2.4% on sales up to Shillings 100,000. He gets an additional commission of 1.5% on sales above this. Calculate the commission he gets on sales wroth shillings 280,000. 100000(.024) + 0.015(280000 - 100000) 2400 + 2700 5100

30. ## math

A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere. cone V= 1/3 pi r^2 h sphere V= 4/3 pi r^3 area of sphere = 4r^2 how to find sphere of radius?

31. ## math

Water flows from a tap. At the rate 27cm3 per second, into a rectangular container of length 60cm, breathe 30 cm and height 40 cm. If at 6.00 p.m. the container was half full, what will be the height of water at 6.04 pm?

32. ## math

The distance between towns M and N is 280 km. A car and a bus travel from M to N. The average speed of the bus is 20 km/h less than that of the car. The bus takes 1 h 10 min more than the car to travel from M and N. (a) If the speed of the bus x km/h ? car

33. ## math

A cylindrical piece of wood of radius 4.2 cm and length 150 cm is cut length rise into two equal pieces. Calculate the surface area of one piece

34. ## math

A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.

35. ## Math

Evaluate 6 log2 ∛64 +10log3 (243)^1/5)

36. ## Math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? I need help

37. ## math

A bus takes 195 minutes to travel a distance of (2x + 30) km at an average speed of (x – 20) km/h. Calculate the actual distance traveled.

38. ## math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? someone can

39. ## math

A solid metal sphere of radius 4.2cm was melted and molten material used to make a cube. Find to 3 significant figures the length of the side of the cube.

40. ## math

Two Lorries A and B ferry goods between two towns which are 3120 km apart. Lorry A traveled at km/h faster than lorry B and B takes 4 hours more than lorry A to cover the distance. Calculate the speed of lorry B

41. ## math

The cash price of a car is \$25000. A customer paid deposits \$ 3750. He repaid the amount owing in 24 equal monthly installments. If he was charged simple interest at the rate of 40% p.a, how much was each installment. 25000 – 3750 = 21250 21250 × 0.4 ×

42. ## Math

The number of women passengers in a bus was X. The number of children in the bus was three times that of men passengers but was 6 more than that of women. Write equation that shows the total number of passengers in the bus?

43. ## math

Three clocks were set to ring at intervals as follows: the first after every 6 minutes the second after every 15 minutes the third after every 24 minutes if the clocks were set at the same time, after how many minutes did them ring together?

44. ## math

An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in meters.

45. ## math

Two points P and Q have coordinates (-2, 3) and (1, 3) respectively. A translation map point P to P’ (10, 10) (a) Find the coordinates of Q’ the image of Q under the translation (b) The position vector of P and Q in (a) above are p and q respectively

46. ## math

A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another helicopter Buffalo left N for K at 11.00 a.m. Helicopter Buffalo traveled at an average speed of 20 km/h faster than Zebra. If both

47. ## math

The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm respectively. Find the percentage error in its perimeter.

48. ## math

A clock was set on Monday at 8.30 a.m. On Tuesday, the following day, the clock showed 8.45 p.m. when the correct time was 8.30 p.m. How many minutes was the clock gaining in every 24 hours?

49. ## math

Students contributed some money to help needy people. They bought twenty four 2-kg packets of ﬂour, thirty six 1-kg packets of ﬂour and a ﬁfty kilogram bag of sugar. The ﬂour was packed in 500 g packets and the sugar in 250 g packets. How many

50. ## math

Point T is the midpoint of a straight line AB. Given the position vectors of A and T are i - j + k and 2i + 1 ½ k respectively, find the position vector of B in terms of i, and k

51. ## math

Solve the equation: 2cos2θ = 1 for 0° ≤ θ ≤ 360. 2θ = cos-1(1/2) 2θ = 60° θ= 30,210 330

52. ## math

Solve the equation sin 5/2¦È = -1/2 for 0¡ã ¡Ü 0 ¡Ü 180¡ã

53. ## math

Given that OA = 3i – 2j + k and OB = 4i – j – 3k. Find the distance between points A and B to 2 decimal places.

54. ## math

Two baskets C and D each contain a mixture of oranges and lemons. Basket C contains 26 oranges and 13 lemons. Basket D contains 18 oranges and 15 lemons. A child selected basket at random and picked at random a fruit from it. Determine the probability that

55. ## math

a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is 70 cm and is equal to the diameter of the top of the frustum. The frustum has a base diameter of 28 cm and slant height of 60

56. ## math

Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDS seminar. Calculate the probability that the two teachers chosen are: (a) Of the same sex (b) Of opposite sex

57. ## math

The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.

58. ## math

A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. Calculate the distance between the two islands In nautical miles In kilometers

59. ## math

Three people Fatuma, Ali and Hassan contributed money to start a business.Fatuma contributed a quarter of the total amount and Ali two fifths of the remainder. Hassan’s contribution was one and a half times that of Fatuma. They borrowed the rest of the

60. ## math

Twenty-four 5-decilitre packets of milk were emptied into a 50-litre container. How many more such packets of milk were needed to fill the container?

61. ## stat

200 tickets are sold to a raffle. It costs \$5 to buy a ticket. There is one first prize winner and one second prize winner. First prize is \$500. Second prize is \$250. What is the value of playing this game?

62. ## math

The area of a square plot of land is 1156m2. The plot is to be fenced with three strands of wire. What is the length of the wire that is needed? Area = S2 √1156 = S S=34 P = 4s = 136 = 136(3) = 408

63. ## math

A plane flying at 200 knots left an airport A( 30° S, 31°E) and flew due North to an airport B( 30° N 31° E) (a) Calculate the distance covered by the plane, in nautical miles (b) After a 15 minutes stop over B, the plane flew west to an airport

64. ## math

Given that sin (x +30)° = cos 2x° for 0°, 0° ≤ x ≤ 90° Find the value x. Hence find the value of cos^2 3x°.

65. ## math

A and B are two matrices. If A= 1 2 4 3 Find B given that A^2 = A +B

66. ## Math

Samuel, Elis and David sell newspapers. One day David sold 20 newspapers more than Elis who sold 10 newspapers more than Samuel. The total number of newspapers they sold that day was 140. If Elis sold y newspapers, write the equations can be used to find

67. ## math

A rectangular plot of land measures 40m by 30m. There is a wall on one of the longer sides. Four strands of wire are to be used to fence the three remaining sides of the plot. What length of wire is required?

68. ## math

Three pupils John, Daniel and David contributed a total of \$400 for a party. John contributed \$30 more than Daniel while, David contributed three times as much as John. If David contributed \$x, which one of the equations below can be used to find David's

69. ## Math

Manyatta Village is 74 km North West of Nyangata Village. Chamwe village is 42 km west of Nyangata. find the bearing of Chamwe from Manyatta

70. ## math

. A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. (a) Calculate the distance between the two islands (i) In nautical miles (ii) In kilometers (b) Calculate the speed of the

71. ## math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

72. ## math

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b

73. ## math

P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c

74. ## statistics

The water supply in a town depends entirely on two pumps. A and B. The probability of pump A filling is 0.1 and the probability of pump B failing is 0.2. Calculate the probability that (a) Both pumps are working (b) There is no water in the town (c) Only

75. ## math

A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m a) Calculate the: i) Area of the plot in square meters √(s(s-a)(s-b)(s-c)) How to find S?

76. ## math

Solve the equation sin (5/2θ) = -1/2 for 0°≤0 ≤ 180° sin(5/2θ) = -1/2 5θ/2 = -30 θ = -12 78, 168

77. ## math

The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm respectively. Find the percentage error in its perimeter.

78. ## math

The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of the polygon

79. ## math

The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5. (a) Calculate the gradient to the curve at t = 0.5 seconds (b) Determine the values of sat the maximum and minimum turning

80. ## math

In a livestock research stations a new drug for a certain fowl disease is being tried. Samples of 36 fowls were diagnosed to have the disease. Twenty (20) fowls were treated with the drug and the rest were not. (a) Calculate the probability that a fowl

81. ## math

Find the reciprocale of 0.342. Hence evaluate: (ã0.0625)/0.342

82. ## math

A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 300 and the angle elevation of the top of the widow is 350. Calculate the vertical

83. ## math

The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term

84. ## math

John and David had packets of tea to be packed into cartons. Each carton holds 46 packets. John packed 63 cartons and remained with 24 packets while David packed 54 cartons and remained with 19 packets. How many more packets of tea had John than David? =

85. ## math

John had mangoes. He ate 5 and shared the remaining among her 6 friends. He however found that he needed 2 more mangoes if each of the friends was to get 4 mangoes. How many mangoes had he at the beginning?

86. ## Math (help)

Mr. John has a dangerous relationship with a new type of Hot Cheetos Product, called Super Hot Cheetos Limon. He is so obsessed that he wants to cover his entire classroom floor in a 2-foot layer of Hot Cheetos and spend his whole summer break eating them.

87. ## math

A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at the end of 30 minutes. What is the capacity of the tank in tank? =22.5 + 1.45(30) =22.5 +43.5 = 66 = 66 * 1000 = 66000 liters

88. ## math

Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of liquid when full. The smaller container has internal cross- section area of 20cm^2. (a) Calculate the capacity of the smaller

89. ## math

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b

90. ## math

Given that sinθ = 2/3 and is an acute angle. Find: Tanθ giving your answer in surd form θ = tan^(-1)⁡〖(2/√5)= 41.81°〗 Sec^22 θ θ= cos^(-1)⁡〖(3/√5〗)=

91. ## math

The length and breadth of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of 0.01 m was made in each of the measurements, find the: (a) Maximum and minimum possible area of the floor (b) Maximum possible

92. ## math

The Position of two A and B on the earth’s surface are (36°N, 49°E) and (360°N, 131°W ) respectively. (a) The difference in long between town A and town (b) Given that the radius of the earth is 6370, calculate the distance town A and town B. (c)

93. ## math

Velocity V ms, of a moving body at time t seconds is given by V = 5t^2 -12t + 7

94. ## math

The a hollow cylinder. The internal and external radii are estimated to be 6 cm and 8 cm respectively, to the nearest whole number. The height of the cylinder is exactly 14 cm. (a) Determine the exactly values for internal and external radii which give

95. ## math

The a hollow cylinder. The internal and external radii are estimated to be 6 cm and 8 cm respectively, to the nearest whole number. The height of the cylinder is exactly 14 cm. (a) Determine the exactly values for internal and external radii which give

96. ## math

An employee started on a salary of £ 6,000 per annum and received a constant increment. If he earned a total of £ 32,400 by the end of five years, calculate his annual increment

97. ## math

A businessman bought two bags of maize at the same price per bag. he discovered that one bag was of high quality and the other of low quality. On the high quality bag he made a profit by selling at \$ 1,040. Whereas on the low quality bag he made a loss by

98. ## math

Water gained heat at the rate of 12° Celsius per minute for 5 minutes. It was then allowed to lose heat at 4° Celsius per minute. If the temperature before heating was 22° Celsius, what was its temperature after 8 1/2 minutes?

99. ## math

A factory produced 65, 160 sweets. The sweets were packed in packets each holding sweets. The cost of each packet was \$72. All the packets were then equally put in 15 cartons. What was the cost of the sweets in each carton?